Question 1.
The Pythagoras Theorem states that the square of the hypotenuse is equal to the sum of the square of the two legs.
From the question, the hypotenuse is h=10 yd and one of the legs is 2yd.
This implies that,
Evaluate the exponents
Subbtract 4 from each side
The correct answer is C
Question 2
We want to solve
using inverse functions.
The inverse of an exponential function is a logarithmic function.
We take natural log of both sides to get;
Recall that
This means
Logarithm of the base is 1
Divide both sides by 4